$11\mathrm{.}6\mathrm{.}6$ Exercise $11\mathrm{.}2\mathrm{.}6$ presented data on chloride concentration y and roadway area x on watersheds in central Rhode Island. Find a $99\%$ confidence interval on each of the following: a$.\backslash$beta $1$ b$.\backslash$beta $0$ c$.$ Mean chloride concentration when roadway area x $=1\mathrm{.}0\%$ d$.$ Finda$99\%$predictionintervalonchlorideconcentration when roadway area x $=1\mathrm{.}0\%.$

$4\mathrm{.}40\mathrm{.}19$

$6\mathrm{.}60\mathrm{.}15$

$9\mathrm{.}70\mathrm{.}57$

$10\mathrm{.}60\mathrm{.}7$

$10\mathrm{.}80\mathrm{.}67$

$10\mathrm{.}90\mathrm{.}63$

$11\mathrm{.}80\mathrm{.}47$

$12\mathrm{.}10\mathrm{.}7$

$14\mathrm{.}30\mathrm{.}6$

$14\mathrm{.}70\mathrm{.}78$

$150\mathrm{.}81$

$17\mathrm{.}30\mathrm{.}78$

$19\mathrm{.}20\mathrm{.}69$

$23\mathrm{.}11\mathrm{.}3$

$27\mathrm{.}41\mathrm{.}05$

$27\mathrm{.}71\mathrm{.}06$

$31\mathrm{.}81\mathrm{.}74$

$39\mathrm{.}51\mathrm{.}62$